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1123056540 = 2232547132749
BaseRepresentation
bin100001011110000…
…0111101110011100
32220021020011221200
41002330013232130
54300000302130
6303234555500
736554552214
oct10274075634
92807204850
101123056540
11526a33001
12274138b90
1314b8943c8
14a9221244
15688dc760
hex42f07b9c

1123056540 has 72 divisors (see below), whose sum is σ = 3479112000. Its totient is φ = 293107584.

The previous prime is 1123056527. The next prime is 1123056547. The reversal of 1123056540 is 456503211.

1123056540 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 5 + 654 + 0 = 666.

It is a super-2 number, since 2×11230565402 = 2522511984073543200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123056547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57915 + ... + 74834.

It is an arithmetic number, because the mean of its divisors is an integer number (48321000).

Almost surely, 21123056540 is an apocalyptic number.

1123056540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123056540 is an abundant number, since it is smaller than the sum of its proper divisors (2356055460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1123056540 is a wasteful number, since it uses less digits than its factorization.

1123056540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132811 (or 132806 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1123056540 is about 33512.0357483696. The cubic root of 1123056540 is about 1039.4426685910.

Adding to 1123056540 its reverse (456503211), we get a palindrome (1579559751).

The spelling of 1123056540 in words is "one billion, one hundred twenty-three million, fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 132749 265498 398247 530996 663745 796494 1194741 1327490 1592988 1991235 2389482 2654980 3982470 4778964 5973705 6239203 7964940 11947410 12478406 18717609 23894820 24956812 31196015 37435218 56152827 62392030 74870436 93588045 112305654 124784060 187176090 224611308 280764135 374352180 561528270 1123056540